The enumeration of inversion sequences avoiding the patterns 201 and 210

Fuente: arXiv
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Autore principale: Pantone, Jay
Natura: Preprint
Pubblicazione: 2023
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author Pantone, Jay
author_facet Pantone, Jay
contents We derive the algebraic generating function for inversion sequences avoiding the patterns $201$ and $210$ by describing a set of succession rules, converting them to a system of generating function equations with one catalytic variable, and then solving the system with kernel method techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2310_19632
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The enumeration of inversion sequences avoiding the patterns 201 and 210
Pantone, Jay
Combinatorics
We derive the algebraic generating function for inversion sequences avoiding the patterns $201$ and $210$ by describing a set of succession rules, converting them to a system of generating function equations with one catalytic variable, and then solving the system with kernel method techniques.
title The enumeration of inversion sequences avoiding the patterns 201 and 210
topic Combinatorics
url https://arxiv.org/abs/2310.19632